Greatest Common Factor of 8245/583, 7815/8354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8245/583, 7815/8354

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8245/583,7815/8354

Given fractions are 8245/583,7815/8354

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8245,7815

Greatest Common Factor of Numerators i.e. GCF of 8245,7815 is 5 .

LCM of Denominators means LCM of 583,8354 as per the given fractions.

LCM of 583,8354 is 4870382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8245,7815

GCF of Fractions 8245/583,7815/8354 is 5/4870382

5 8245, 7815
1649, 1563

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8245,7815 By Matching Biggest Common Factor Method

Greatest Common Factor of 8245,7815 By Matching Biggest Common Factor Method

Factors of 8245

List of positive integer factors of 8245 that divides 8245 without a remainder.

1,5,17,85,97,485,1649,8245

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Greatest Common Factor

We found the factors 8245,7815 . The biggest common factor number is the GCF number.
So the greatest common factor 8245,7815 is 5.

Lets's calculate LCM of 583,8354

Given numbers has no common factors except 1. So, there LCM is their product i.e 4870382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4870382

Therefore, the GCF of Fractions 8245/583,7815/8354 is 5/4870382

Least Common Multiple of 583,8354 with GCF Formula

Least Common Multiple of 583,8354 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 583,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,8354) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(583,8354) x common factors =1 x 1 = 1

LCM(583,8354) = ( 583 × 8354 ) / 1

LCM(583,8354) = 4870382 / 1

LCM(583,8354) = 4870382


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8245/583, 7815/8354

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8245/583, 7815/8354?

Answer: GCF of Numerators as per given numbers 8245/583, 7815/8354 is

GCF of Numerators i.e. for 8245,7815 is 5

LCM of denominators i.e. for 583,8354 is 4870382.

Thus, GCF of Fractions is 5/4870382.Finally, GCF of Fractions for 8245/583, 7815/8354 is 5/4870382.